Homework Help is Here – Start Your Trial Now!
Math
Statistics
Are any of these tests signficant? How would they be written up in APA fomat?

Are any of these tests signficant? How would they be written up in APA fomat?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
See similar textbooks
icon
Related questions
Question

Are any of these tests signficant? How would they be written up in APA fomat?

The table above presents the results of an ANOVA (Analysis of Variance) for energy. Here's a breakdown of the table contents: - **Sum of Squares**: Represents the variation attributed to each source. - **df (degrees of freedom)**: Indicates the number of independent values that can vary. - **Mean Square**: Calculated by dividing the sum of squares by the respective degrees of freedom. - **F**: The F-ratio, derived from dividing the mean square of each variable by the mean square of the residuals. - **p**: The p-value, showing the statistical significance of the result. - **η² (Eta squared)**: A measure of effect size. ### Breakdown: - **Reference Group**: - Sum of Squares: 36.6 - df: 1 - Mean Square: 36.6 - F: 0.0756 - p: 0.784 - η²: 0.001 - **Norm**: - Sum of Squares: 177.8 - df: 1 - Mean Square: 177.8 - F: 0.3676 - p: 0.546 - η²: 0.005 - **Reference Group × Norm**: - Sum of Squares: 1026.6 - df: 1 - Mean Square: 1026.6 - F: 2.1229 - p: 0.149 - η²: 0.026 - **Residuals**: - Sum of Squares: 38201.8 - df: 79 - Mean Square: 483.6 This table helps determine whether there are significant differences between groups in terms of energy, but the high p-values suggest no statistically significant differences in this case.
Transcribed Image Text:The table above presents the results of an ANOVA (Analysis of Variance) for energy. Here's a breakdown of the table contents: - **Sum of Squares**: Represents the variation attributed to each source. - **df (degrees of freedom)**: Indicates the number of independent values that can vary. - **Mean Square**: Calculated by dividing the sum of squares by the respective degrees of freedom. - **F**: The F-ratio, derived from dividing the mean square of each variable by the mean square of the residuals. - **p**: The p-value, showing the statistical significance of the result. - **η² (Eta squared)**: A measure of effect size. ### Breakdown: - **Reference Group**: - Sum of Squares: 36.6 - df: 1 - Mean Square: 36.6 - F: 0.0756 - p: 0.784 - η²: 0.001 - **Norm**: - Sum of Squares: 177.8 - df: 1 - Mean Square: 177.8 - F: 0.3676 - p: 0.546 - η²: 0.005 - **Reference Group × Norm**: - Sum of Squares: 1026.6 - df: 1 - Mean Square: 1026.6 - F: 2.1229 - p: 0.149 - η²: 0.026 - **Residuals**: - Sum of Squares: 38201.8 - df: 79 - Mean Square: 483.6 This table helps determine whether there are significant differences between groups in terms of energy, but the high p-values suggest no statistically significant differences in this case.
**ANOVA - Mental Health** | Source | Sum of Squares | df | Mean Square | F | p | η² | |----------------------------|----------------|-----|-------------|------|------|-------| | Reference Group | 110.0 | 1 | 110.0 | 0.199| 0.657| 0.002 | | Norm | 75.8 | 1 | 75.8 | 0.137| 0.712| 0.002 | | Reference Group ✻ Norm | 128.2 | 1 | 128.2 | 0.232| 0.631| 0.003 | | Residuals | 44199.7 | 80 | 552.5 | | | | - **Sum of Squares**: A measure of the total variability in the data. - **df (degrees of freedom)**: The number of independent values or quantities that can vary. - **Mean Square**: Calculated by dividing the sum of squares by the corresponding degrees of freedom. - **F**: The ratio of two mean square values, indicating the variance between group means. - **p**: The probability value, indicating the significance level of the results. - **η²**: The effect size, representing the proportion of variance explained by each source. The table provides a detailed analysis of variance for mental health data, showing how different factors contribute to overall variability. Each row represents a source of variance, and the interaction effect is indicated by "Reference Group ✻ Norm". Residuals account for unexplained variance.
Transcribed Image Text:**ANOVA - Mental Health** | Source | Sum of Squares | df | Mean Square | F | p | η² | |----------------------------|----------------|-----|-------------|------|------|-------| | Reference Group | 110.0 | 1 | 110.0 | 0.199| 0.657| 0.002 | | Norm | 75.8 | 1 | 75.8 | 0.137| 0.712| 0.002 | | Reference Group ✻ Norm | 128.2 | 1 | 128.2 | 0.232| 0.631| 0.003 | | Residuals | 44199.7 | 80 | 552.5 | | | | - **Sum of Squares**: A measure of the total variability in the data. - **df (degrees of freedom)**: The number of independent values or quantities that can vary. - **Mean Square**: Calculated by dividing the sum of squares by the corresponding degrees of freedom. - **F**: The ratio of two mean square values, indicating the variance between group means. - **p**: The probability value, indicating the significance level of the results. - **η²**: The effect size, representing the proportion of variance explained by each source. The table provides a detailed analysis of variance for mental health data, showing how different factors contribute to overall variability. Each row represents a source of variance, and the interaction effect is indicated by "Reference Group ✻ Norm". Residuals account for unexplained variance.
Expert Solution
steps

Step by step

Solved in 3 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman
SEE MORE TEXTBOOKS